Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. Intended for undergraduate courses in abstract algebra, it is suitable for junior- and senior-level math majors and future math teachers. This second edition features additional exercises to improve student familiarity with applications. An introductory chapter traces concepts of abstract algebra from their historical roots. Succeeding chapters avoid the conventional format of definition-theorem-proof-corollary-example; instead, they take the form of a discussion with students, focusing on explanations and offering motivation. Each chapter rests upon a central theme, usually a specific application or use. The author provides elementary background as needed and discusses standard topics in their usual order. He introduces many advanced and peripheral subjects in the plentiful exercises, which are accompanied by ample instruction and commentary and offer a wide range of experiences to students at different levels of ability.

    Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.

    To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok.In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—at the same time that practitioners relied on it to solve crises involving great uncertainty and scanty information (Alan Turing's role in breaking Germany's Enigma code during World War II), and explains how the advent of off-the-shelf computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security.Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.

    From the first lesson to the last, each chapter introduces games of increasing complexity and then teaches the game theoretical tools necessary to solve them. Inside, you will find: All the basics fully explained, including pure strategy Nash equilibrium, mixed strategy Nash equilibrium, the mixed strategy algorithm, how to calculate payoffs, strict dominance, weak dominance, iterated elimination of strictly dominated strategies, iterated elimination of weakly dominated strategies, and more! Dozens of games solved, including the prisoner's dilemma, stag hunt, matching pennies, zero sum games, battle of the sexes/Bach or Stravinsky, chicken/snowdrift, pure coordination, deadlock, and safety in numbers! Crystal clear, line-by-line calculations of every step, with more than 200 images so you don't miss a thing! Tons of applications: war, trade, game shows, and duopolistic competition. Quick, efficient, and to the point, Game Theory 101: The Basics is perfect for introductory game theory, intermediate microeconomics, and political science.

    The topics covered in the exam include: network security, security management, systems development, cryptography, disaster recovery, law, and physical security. CISSP For Dummies, 3rd Edition is the bestselling guide that covers the CISSP exam and helps prepare those wanting to take this security exam. The 3rd Edition features 200 additional pages of new content to provide thorough coverage and reflect changes to the exam. Written by security experts and well-known Dummies authors, Peter Gregory and Larry Miller, this book is the perfect, no-nonsense guide to the CISSP certification, offering test-taking tips, resources, and self-assessment tools.Fully updated with 200 pages of new content for more thorough coverage and to reflect all exam changesSecurity experts Peter Gregory and Larry Miller bring practical real-world security expertiseCD-ROM includes hundreds of randomly generated test questions for readers to practice taking the test with both timed and untimed versions"CISSP For Dummies, 3rd Edition" can lead you down the rough road to certification successNote: CD-ROM/DVD and other supplementary materials are not included as part of eBook file.

    This is the amazing story of how the "map problem" was solved.The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm.Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map.

    She was heavily malnourished, atrophied to the point she couldn’t walk, and the only survivor of a massacre. She also doesn’t remember a thing about her past.After months of sweat and hard work, she was out on her own. She was able to walk again and independent, and working to regain a life, although the lack of a past haunted her in her dreams and nightmares. Then everything changed one night as she was attacked in an alley. No one was more surprised than Lily, when she wound up being the stronger predator.Join Lily, as she learns of the existence of the supernatural world, and she tries to uncover the truth of her past. Where vampires, shifters, witches and warlocks are nothing like the legends or Hollywood fictions, and she’s stranger than all of them. Author’s note: This is the first book in an urban fantasy trilogy. There will be no major cliffhangers, but there will be several plot threads left unresolved until the final book.

    All the Car Questions You Were Never Taught To Ask.Learn how to get the best deals from home without making any mistakes and wasting any time in this Easy-to-Follow Guide.Follow along as, former Mercedes-Benz and General Motors sales professional, Deshone Drummond teaches how to avoid the countless mistakes most car shoppers make that cost them thousands.Copy & Paste this link into your browser to grab your copy today.52carquestions.com/digital-book

    And BAD… But the lengths he will go through to accomplish this may become the reason he would want her to be more than just a fling. As Adrian sees the side of Emily that’s headstrong and stubborn, he can't help but be drawn to her little quirks as well. Everything about her intrigues him. A heated debate ensues after she refused to participate in a business deal he wants to do with her help. As anger and frustration creeps into his head, it leads to a sexual tension that results in a moment that will change the whole dynamic of their relationship.

    In Dataclysm, Christian Rudder uses it to show us who we truly are.   For centuries, we’ve relied on polling or small-scale lab experiments to study human behavior. Today, a new approach is possible. As we live more of our lives online, researchers can finally observe us directly, in vast numbers, and without filters. Data scientists have become the new demographers.   In this daring and original book, Rudder explains how Facebook "likes" can predict, with surprising accuracy, a person’s sexual orientation and even intelligence; how attractive women receive exponentially more interview requests; and why you must have haters to be hot. He charts the rise and fall of America’s most reviled word through Google Search and examines the new dynamics of collaborative rage on Twitter. He shows how people express themselves, both privately and publicly. What is the least Asian thing you can say? Do people bathe more in Vermont or New Jersey? What do black women think about Simon & Garfunkel? (Hint: they don’t think about Simon & Garfunkel.) Rudder also traces human migration over time, showing how groups of people move from certain small towns to the same big cities across the globe. And he grapples with the challenge of maintaining privacy in a world where these explorations are possible.   Visually arresting and full of wit and insight, Dataclysm is a new way of seeing ourselves—a brilliant alchemy, in which math is made human and numbers become the narrative of our time.

    I WILL RETURN FOR HIM."Return for him. Yeah, right...Seriously, you really would expect a warrior angel sent from God to keep his word, wouldn't you? Well not this one. Not today. Today Sam and his crew are on their own.So when the "him" they swear to "keep safe" turns out to be none other than the infant Jesus of Nazareth...... and the thing they must keep him safe from is no less than a murderous army of razor-taloned monsters spawned from the very pits of Hell...... well then, now Sam and his two best buds have got themselves one soul-chilling, diaper-filling, impending apocalypse of a problem.SAVIOURS DAYThree bruvs. One baby. Thirty million demons.STRANGER THINGS meets THE DA VINCI CODE in apulse-pounding, jaw-slackening urban fantasy adventure.

    

     This specially-priced boxset includes: BOOK 1: LET NOT THE DEEP A crippled cargo ship drifts helplessly in the face of an oncoming hurricane-force storm. On board, a passenger whose presence means the world is watching. Only the skill, determination and raw courage of a lifeboat crew and the British military forces despatched to save them offer any hope of survival. But set against the savagery of the Atlantic even that might not be enough... BOOK 2: KING'S SHILLING As a powerful insurgent army closes on Liberia’s capital, London is forced to act, and HMS Beaufort is despatched to West Africa to pull British nationals from the teeth of encroaching danger. But when the volatile situation ashore unravels, the frigate’s crew must draw deep on reserves of skill, ingenuity and sheer bloody mindedness to save it. And with time running out Beaufort’s Captain makes the decision to take his ship up river... BOOK 3: LONG REACH When Belize is invaded by a powerful neighbour it’s Britain that must spring to the defence of this old outpost of empire. But intervening in distant Central America will test the limits of the former colonial power. And in the end the outcome will turn on the skill, boldness and heart-bursting bravery of handful of British forces already in country... BOOK 4: CONGO BLUE When a group of missionaries get caught up in bloody African civil war London is forced to act. For the men of 40 Commando, Royal Marines, it should be a quick in and out. A nice clean operation. But what awaits them will test them like never before. And, facing overwhelming odds, this time the skill and raw courage of these legendary fighting men may not be enough.. *Note: Congo Blue was previously published as Heraklion Blue. What everyone is saying about Mike Lunnon-Wood’s books: ‘Mike Lunnon-Wood is a great thriller writer’ -- Rowland White, author of Vulcan 607 ‘Absolutely Magnificent! Never has a book twisted my emotions as much as this book has. What a brilliant author Mike Lunnon-Wood is.' ‘Storytelling at its best. Thoroughly enjoyed the whole thing.’ ‘I have just finished reading Congo Blue after reading Let Not The Deep, King's Shilling and Long Reach all in sequence and almost without a break. I just could not stop. I see completely why Rowland White praised these books. I recommend anyone to read them all.’ ‘These four books are probably the best series I've read.’ ‘The quality of his writing and the depth of his characters are brilliant.’ ‘I was lost from the world while reading this and books like that don't come along too often.’ Mike Lunnon-Wood’s books are perfect for fans of Red Storm Rising, Sniper One or Bravo Two Zero or movies like Red Dawn, Dunkirk or The Siege of Jadotville.

    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas. Updated to meet the emphasis in current courses, this new edition of a popular guide--more than 104,000 copies were bought of the prior edition--includes problems and examples using graphing calculators..